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2019 | OriginalPaper | Chapter

Random Graph Node Classification by Extremal Index of PageRank

Authors : Natalia M. Markovich, Maxim S. Ryzhov

Published in: Distributed Computer and Communication Networks

Publisher: Springer International Publishing

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Abstract

Taking account for the graph randomness, our purpose is a node classification by their extremal indexes (EI) as the local dependence measure of node influence characteristics. The EI was calculated by node PageRanks of the local tree related to the node, which is a kind of Thorny Branching Tree (TBT). The blocks estimator was used for the EI estimation by sliding and disjoint block definitions. The classification by the node EI value and the average block size for the local node TBT was introduced for simulated graphs by the Forest Fire and Erdős-Rényi Models and the Berkeley-Stanford dataset as a real example. The new classification methodology is proposed irrespective on the graph structure.

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Literature
2.
go back to reference Brin, S., Page, L.: The anatomy of a large-scale hypertextual web search engine. Computer Networks and ISDN Systems, pp. 107–117 (1998)CrossRef Brin, S., Page, L.: The anatomy of a large-scale hypertextual web search engine. Computer Networks and ISDN Systems, pp. 107–117 (1998)CrossRef
3.
go back to reference Avrachenkov, K., Gonçalves, P., Legout, A., Sokol, M.: Graph based classification of content and users in BitTorrent. In: Proceeding of NIPS Big Learning Workshop, December 2011 Avrachenkov, K., Gonçalves, P., Legout, A., Sokol, M.: Graph based classification of content and users in BitTorrent. In: Proceeding of NIPS Big Learning Workshop, December 2011
6.
go back to reference Chen, N., Litvak, N., Olvera-Cravioto, M.: Ranking algorithms on directed configuration networks, 12 October 2014. arXiv:1409.7443v2 [math.PR] Chen, N., Litvak, N., Olvera-Cravioto, M.: Ranking algorithms on directed configuration networks, 12 October 2014. arXiv:​1409.​7443v2 [math.PR]
7.
go back to reference Volkovich, Y., Litvak, N.: On the exceedance point process for a stationary sequence. Adv. Appl. Probab. 42, 577–604 (2010)CrossRef Volkovich, Y., Litvak, N.: On the exceedance point process for a stationary sequence. Adv. Appl. Probab. 42, 577–604 (2010)CrossRef
8.
go back to reference Leadbetter, M.R.: Extremes and local dependence in stationary sequences. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, pp. 291–306 (1983) Leadbetter, M.R.: Extremes and local dependence in stationary sequences. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, pp. 291–306 (1983)
9.
go back to reference Leskovec, J., Lang, K.J., Dasgupta, A., Mahoney, M.W.: Community Structure in Large Networks: Natural Cluster Sizes and the Absence of Large Well-Defined Clusters, eprint arXiv:0810.1355 (2008) Leskovec, J., Lang, K.J., Dasgupta, A., Mahoney, M.W.: Community Structure in Large Networks: Natural Cluster Sizes and the Absence of Large Well-Defined Clusters, eprint arXiv:​0810.​1355 (2008)
11.
go back to reference Beirlant, J., Goegebeur, Y., Teugels, J., Segers, J.: Statistics of Extremes: Theory and Applications. Wiley, Chichester (2004)CrossRef Beirlant, J., Goegebeur, Y., Teugels, J., Segers, J.: Statistics of Extremes: Theory and Applications. Wiley, Chichester (2004)CrossRef
14.
Metadata
Title
Random Graph Node Classification by Extremal Index of PageRank
Authors
Natalia M. Markovich
Maxim S. Ryzhov
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-36625-4_34

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